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Finding the Fourth Proportional to 9,669.20, 14,503.98 and 7,744.64

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Solution

The fourth proportional to 9,669.20, 14,503.98 and 7,744.64 is: 11,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.20 : 14,503.98 = 7,744.64 : x
  2. Step 2: Convert to fraction form
    9,669.20/14,503.98 = 7,744.64/x
  3. Step 3: Cross multiply
    9,669.20x = 14,503.98 × 7,744.64
  4. Step 4: Simplify right side
    9,669.20x = 112,328,103.67
  5. Step 5: Solve for x
    x = 112,328,103.67/9,669.20
  6. Step 6: Final answer
    x = 11,617.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.